Is it possible to factor $y = 3 x^{2} - 11 x + 6$ $y=3x^2-11x+6$ ? If so, what are the factors?

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Is it possible to factor $y = 3 x^{2} - 11 x + 6$ $y=3x^2-11x+6$ ? If so, what are the factors?

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Answer 1 · 2018-06-12T21:31:48

$(x - 3) (3 x - 2)$ $(x-3)(3x-2)$

Explanation:

$using the a-c method to factor the quadratic$ $"using the a-c method to factor the quadratic"$

$the factors of the product 3 \times 6 = 18$ $"the factors of the product "3xx6=18$

$which sum to - 11 are - 9 and - 2$ $"which sum to " - 11" are " - 9 " and " - 2$

$split the middle term using these factors$ $"split the middle term using these factors"$

$3 x^{2} - 9 x - 2 x + 6 \leftarrow factor by grouping$ $3x^2-9x-2x+6larrcolor(blue)"factor by grouping"$

$= 3 x (x - 3) - 2 (x - 3)$ $=color(red)(3x)(x-3)color(red)(-2)(x-3)$

$take out the common factor (x - 3)$ $"take out the "color(blue)"common factor "(x-3)$

$= (x - 3) (3 x - 2)$ $=(x-3)(color(red)(3x-2))$

$3 x^{2} - 11 x + 6 = (x - 3) (3 x - 2)$ $3x^2-11x+6=(x-3)(3x-2)$

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Is it possible to factor $y = 3 x^{2} - 11 x + 6$ $y=3x^2-11x+6$ ? If so, what are the factors?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

Is it possible to factor y=3x2−11x+6y=3x^2-11x+6? If so, what are the factors?

1 Answer

Explanation:

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Impact of this question

Is it possible to factor $y = 3 x^{2} - 11 x + 6$ $y=3x^2-11x+6$ ? If so, what are the factors?